Algebraic Relationships

We estimate MS1-12-AR is worth about 14 marks out of 100 under the new Mathematics Standard 1 syllabus. Practise 17 exam-style questions (multiple choice, multi-part, numerical answer, short answer) with instant marking and a worked solution for every question.

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Topic notes

Simultaneous linear equations solved with graphs and tables, the meaning of a point of intersection, break-even points, linear and exponential models from tables of values, and the strengths and limitations of each model.

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Example questions

Example 1 · 1 mark · multiple choice

A small business makes phone cases. Its costs are $C = 1200 + 8 x$ and its revenue is $R = 20 x$ , where $x$ is the number of cases sold and $C$ and $R$ are in dollars. How many cases must be sold to break even?

A60 items
B150 items
C100 items
D43 items

Example 2 · 1 mark · multiple choice

The number of bacteria in a sample is modelled by $N = 400 \times 1.1 5^{t}$ , where $t$ is the time in hours. How many bacteria are predicted after 6 hours, to the nearest whole number?

A2760
B760
C925
D805

Example 3 · 4 marks · multi-part

A student sells handmade candles at markets. Each month there are fixed costs of $900 (stall fees and equipment). Each candle costs $6 to make and sells for $18.

The cost is $C = 900 + 6 x$ and the revenue is $R = 18 x$ , where $x$ is the number of candles made and sold in a month.

Answers and worked solutions appear when you practise these questions.

Algebraic Relationships

Topic notes

Example questions

Other Mathematics Standard 1 topics